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Sven Rinke : Supersymmetric Boundary Conditions for the N = 2 Sigma Model withNon-Abelian Gauge Fields

In the spirit of hep-th/0309223, we investigate the N=(2,2) NLSM with U(N) gauge fields living on the boundary of the worldsheet. A boundary fermion mechanism is used to rewrite the trace over the path ordered exponential as a local Lagrangian. This allows us to explore the supersymmetric boundary conditions leading to constraints for non-abelian D-branes.

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